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Finding the Fourth Proportional to 3,106.96, 4,660.42 and 2,010.71

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Solution

The fourth proportional to 3,106.96, 4,660.42 and 2,010.71 is: 3,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.96 : 4,660.42 = 2,010.71 : x
  2. Step 2: Convert to fraction form
    3,106.96/4,660.42 = 2,010.71/x
  3. Step 3: Cross multiply
    3,106.96x = 4,660.42 × 2,010.71
  4. Step 4: Simplify right side
    3,106.96x = 9,370,753.10
  5. Step 5: Solve for x
    x = 9,370,753.10/3,106.96
  6. Step 6: Final answer
    x = 3,016.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.